AAI ATC 2018: Final Revision Quiz 4 for ESE & GATE ME Exams

Question 1

What is the duration (in minutes) of one-half of a football match?

Question 2

Lisa was born on 1 March 2016. When will she be 5,000 days old?

Question 3

Select the related letters from the given alternatives.

DGI : JMO :: RUW : ?

Question 4

In each of the questions given below which one of the five answer figures should come after the problem figures, if the sequence were continued?

Question 5

Choose the most appropriate option to change the narration (direct/indirect) of the given sentence.

“Bring me my spectacles,” said grandfather to me.

Question 6

Choose the most appropriate option to change the voice (active/passive) form of the given sentence.

The travel agent is making all the reservations.

Question 7

A bag contains 8 red balls and 11 black balls. One after one ball is drawn. Drawing ball is stopped as soon as one red ball is drawn. Find the probability that it stops in the third draw.

Question 8

A line with direction cosines proportional to 2,1,2 meets each of lines x = y+a=z and x+a = 2y = 2z then the coordinates of each of the points of intersection are given by?

Question 9

The Boolean expression

is equivalent to

Question 10

A body is thrown horizontally with uniform speed. What are horizontal and vertical components of acceleration?

Question 11

Sachin Tendulkar hits the cricket ball and the ball reaches his maximum height 100 m with a speed of 30 m/s. Right after being hit, the speed of the ball is approximately equal to (Assume

)

Question 12

What will be the potential energy of the proton beam produced by a cyclotron’s oscillator having frequency 5 MHz and radius of dees 30 cm if total energy of system is 10 MeV? (Neglect friction and heat losses)

Question 13

Who is the recipient of Arjuna Award 2016 in the field of athletics?

Question 14

Find the number of triangles in the given figure.

Question 15

In a certain system A = 15(56)13, B = 17(50)8. What should be filled in the place of * to follow the same in C = 9(32)*

Question 16

Which is the letter opposite to the letter P in the cube?

Question figure:

Question 17

In the following question, a sentence has been given in Active/Passive Voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active Voice.

We were shocked at the news of his death.

Question 18

Select the correct active form of the given sentence.

By whom were you insulted?

Question 19

If the function f(x) declared as below is continuous at x=0 then find find a
f(x)=

Question 20

The price of a certain commodities keeps on changing from time to time. Here is a table given in which the price of certain commodity and its stock in a grocery store is given below. The shopkeeper wants to find the deviation in profit (Consider the mean to be his general profit without deviation) The mean being 62.
The class is the price of the commodity and frequency is the stock

Question 21

Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series
1² + 2.2² + 3² +2.4²+5²+2.6²+.....
If B - 2A=100λ then λ is equal to

Question 22

A block is released from point A. There is no friction on the track. Find the normal force at point. Radius of curvature of curve is 5 m as given in the figure. Mass of the block is 0.5 kg. (g=10 m/s²).

Question 23

A pendulum consists of a massive bob suspended from a hook by an elastic band. The spring constant k of the band and the mass m of the bob are such that

, and the unstretched length of the band is L=1 m. The pendulum is released from an angle from the vertical of 60^o. Initially, the speed of the bob is zero and the band is relaxed (unstretched) state. The total length of the band at the lowest point in bob's trajectory is

Question 24

A geologist checks the angle of dip at a certain point and founds it to be 30˚. Now, if the vertical component of the Earth’s magnetic field is B at that place then what would have been the horizontal component?